Stability analysis of two new SIRS models with two viruses

DOI10.1080/00207160.2017.1364369zbMath1499.34291OpenAlexW2743935095MaRDI QIDQ5028619

Zhixia Han, Lisha Wang, Jiandong Zhao

Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1364369

zbMATH Keywords

stabilityendemic equilibriumdisease-free equilibriumcontinuous SIRS modeldiscrete-time SIRS model

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Discrete version of topics in analysis (39A12) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Applications of difference equations (39A60)

Related Items (5)

Dynamic behavior of a stochastic SIRS model with two viruses ⋮ Nonlinear Dynamical Analysis of a Stochastic Sirs Epidemic System with Vertical Dissemination and Switch from Infectious to Susceptible Individuals ⋮ Stochastic probes in delay viral infection model with general incidence rate and control strategies ⋮ Qualitative analysis of stochastically perturbed SIRS epidemic model with two viruses ⋮ Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global dynamics of a virus dynamical model with cell-to-cell transmission and cure rate
• Dynamics of a novel nonlinear stochastic SIS epidemic model with double epidemic hypothesis
• Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions
• Permanence and global stability of a class of discrete epidemic models
• The domain of attraction for the endemic equilibrium of an SIRS epidemic model
• Permanence of a discrete SIRS epidemic model with time delays
• Global behavior and permanence of SIRS epidemic model with time delay
• Singular perturbation approach to stability of a SIRS epidemic system
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Applications of centre manifold theory
• Dynamical behavior for a stage-structured SIR infectious disease model
• Oscillation and global asymptotic stability in a discrete epidemic model
• Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease
• Stability analysis in a class of discrete SIRS epidemic models
• Stochastic SIRS model under regime switching
• Global stability of an SIRS epidemic model with delays
• GLOBAL ANALYSIS FOR A DELAYED SIV MODEL WITH DIRECT AND ENVIRONMENTAL TRANSMISSIONS

This page was built for publication: Stability analysis of two new SIRS models with two viruses